Algebra Examples

$[\begin{array}{c} - 3 & 3 \\ 1 & 3 \end{array}] [\begin{array}{c} - 3 & 1 \\ 3 & 9 \end{array}]$

Multiply each row in the first matrix by each column in the second matrix.

$[\begin{array}{c} - 3 \cdot - 3 + 3 \cdot 3 & - 3 \cdot 1 + 3 \cdot 9 \\ 1 \cdot - 3 + 3 \cdot 3 & 1 \cdot 1 + 3 \cdot 9 \end{array}]$

Simplify each element of the matrix by multiplying out all the expressions.

$[\begin{array}{c} 18 & 24 \\ 6 & 28 \end{array}]$

The matrix is in the most simplified form.

$[\begin{array}{c} 18 & 24 \\ 6 & 28 \end{array}]$